Question

A water-filled manometer is used to measure the pressure in an air-filled tank. One leg of the manometer is open to atmosphere. For a measured manometer deflection of 250 cm water, determine the absolute pressure and the gauge pressure of the tank. Barometric pressure is 101.3 kPa abs.

Answer 1

P(abs) =103.8 KPa

P(gauge) =2.5 KPa

Step-by-step explanation:

Given that

Manometer deflection(h) =250 cm water

Barometric pressure = 101.3 kPa abs

As we know that Barometric measure atmospheric pressure while manometer reads gauge pressure or local pressure.

We also know that density(ρ) of water is 1000 kg/m³.

Gauge pressure P(gauge) = ρ g h

P(gauge) = 1000 x 10 x 0.25 = 2.5 KPa ( take g =10 m/s²)

P(gauge) =2.5 KPa

P(atm) = 101.3 KPa

Absolute pressure = atmospheric pressure + gauge pressure

P(abs) = P(atm) + P(gauge)

P(abs) = 101.3 + 2.5 KPa

P(abs) =103.8 KPa